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Related papers: Emergent dimer-model topological order and quasi-p…

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The ability to manipulate polar entities with multiple external fields opens exciting possibilities for emerging functionalities and novel applications in spin systems, photonics, metamaterials, and soft matter. Liquid crystals (LCs),…

Optical vortices (OVs) have emerged as a revolutionary concept in modern photonics, offering a unique method of manipulating light beyond conventional Gaussian beams. Despite their vast potential, phase topology stability remains…

We introduce several new models whose common feature is to take into account effects from topological vorticity. The macroscopic unknown is driven by a dissipative anomalous diffusion (of SQG-type) and is coupled with the orientation of the…

Analysis of PDEs · Mathematics 2026-01-27 Fanghua Lin , Yannick Sire , Yantao Wu , Yifu Zhou

Topology, a mathematical concept, has recently become a popular and truly transdisciplinary topic encompassing condensed matter physics, solid state chemistry, and materials science. Since there is a direct connection between real space,…

Materials Science · Physics 2021-03-23 Nitesh Kumar , Satya N. Guin , Kaustuv Manna , Chandra Shekhar , Claudia Felser

Widely known for their uses in displays and electro-optics, liquid crystals are more than just technological marvels. They vividly reveal the topology and structure of various solitonic and singular field configurations, often markedly…

Soft Condensed Matter · Physics 2023-04-18 Jin-Sheng Wu , Ivan I. Smalyukh

Topological defects arise in a variety of systems, e.g. vortices in superfluid helium to cosmic strings in the early universe. There is an indirect evidence of neutron superfluid vortices from glitches in pulsars. One also expects that…

High Energy Physics - Phenomenology · Physics 2017-09-25 Arpan Das , Shreyansh S. Dave , Somnath De , Ajit M. Srivastava

In this review, we discuss various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the…

High Energy Physics - Phenomenology · Physics 2014-02-04 Minoru Eto , Yuji Hirono , Muneto Nitta , Shigehiro Yasui

Topological order in strongly correlated systems, including quantum spin liquids, quantum Hall states in lattices and topological superconductivity is treated. Various metallic non-Fermi-liquid states are discussed, including fractionalized…

Strongly Correlated Electrons · Physics 2022-09-12 V. Yu. Irkhin , Yu. N. Skryabin

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

The homotopy theory of topological defects is a powerful tool for organizing and unifying many ideas across a broad range of physical systems. Recently, experimental progress has been made in controlling and measuring colloidal inclusions…

Soft Condensed Matter · Physics 2012-04-10 Gareth P. Alexander , Bryan Gin-ge Chen , Elisabetta A. Matsumoto , Randall D. Kamien

Since the discovery of topological insulators, many topological phases have been predicted and realized in a range of different systems, providing both fascinating physics and exciting opportunities for devices. And although new materials…

Quantum Gases · Physics 2016-07-15 N. Goldman , J. C. Budich , P. Zoller

Liquid crystals are assemblies of rod-like molecules which self-organize to form mesophases, in-between ordinary liquids and anisotropic crystals. At each point, the molecules collectively orient themselves along a privileged direction,…

Soft Condensed Matter · Physics 2023-05-03 Sébastien Fumeron , Bertrand Berche

Active systems, from bacterial suspensions to cellular monolayers, are continuously driven out of equilibrium by local injection of energy from their constituent elements and exhibit turbulent-like and chaotic patterns. Here we demonstrate…

Soft Condensed Matter · Physics 2016-02-04 Amin Doostmohammadi , Michael F. Adamer , Sumesh P. Thampi , Julia M. Yeomans

The control of condensed matter systems out of equilibrium by laser pulses allows us to investigate the system trajectories through symmetry-breaking phase transitions. Thus the evolution of both collective modes and single particle…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Dragan Mihailovic , Tomaz Mertelj , Viktor V Kabanov , Serguei Brazovskii

The stability of a vortex glass phase with quasi-long-range positional order is examined for a disordered layered superconductor. The role of topological defects is investigated using a detailed scaling argument, supplemented by a…

Condensed Matter · Physics 2009-10-28 J. Kierfeld , T. Nattermann , T. Hwa

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Topological states of matter are, generally, quantum liquids of conserved topological defects. We establish this by constructing and analyzing topological field theories which describe the dynamics of field singularities using gauge fields.…

Strongly Correlated Electrons · Physics 2020-06-17 Predrag Nikolić

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth
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